GCD of 252, 945, 87, 728 Calculator

Given Input numbers are 252, 945, 87, 728

In the factoring method, we have to find the divisors of all numbers

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (252, 945, 87, 728) = 1.

Given numbers are 252, 945, 87, 728

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 87 are 3 x 29

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 252, 945, 87, 728

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(252, 945) = 3780

GCD(252, 945) = ( 252 x 945 ) / 3780

= 252 / 945

= 252

Step2:

LCM(63, 87) = 1827

GCD(63, 87) = ( 63 x 87 ) / 1827

= 63 / 87

= 63

Step3:

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

= 3 / 728

= 3

So, Greatest Common Divisor of 252, 945, 87, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 953, 85, 117
• GCD of 248, 373, 74, 319
• GCD of 106, 782, 50, 485
• GCD of 361, 176, 63, 727
• GCD of 480, 609, 60, 513

Given numbers are 252, 945, 87, 728
The greatest common divisor of numbers 252, 945, 87, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 945, 87, 728 is 1.

1. What is the GCD of 252, 945, 87, 728?

GCD of given numbers 252, 945, 87, 728 is 1

2. How to calculate the greatest common divisor of 252, 945, 87, 728?

We can find the highest common divisor of 252, 945, 87, 728 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 252, 945, 87, 728 i.e 1.

3. How can I use the GCD of 252, 945, 87, 728Calculator?

Out the numbers 252, 945, 87, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.